Magma V2.19-8 Tue Aug 20 2013 16:15:57 on localhost [Seed = 779072018] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0188 geometric_solution 4.00068613 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434987630877 0.502917949627 0 3 4 2 0132 1230 3012 2310 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740858172284 0.148744113457 1 0 3 3 3201 0132 3201 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.510236039543 0.883211200574 2 2 1 0 2310 1302 3012 0132 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.003636155209 0.594662591542 5 1 0 5 0132 1230 0132 3201 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.309349098605 0.890354966137 4 4 6 6 0132 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.475366364355 0.616457127949 5 6 6 5 3201 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.296196056150 0.059489659779 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 15871094303180568/3049266325095991*c_0101_5^11 + 150083737204302987/3049266325095991*c_0101_5^10 - 3195420621958402/33508421154901*c_0101_5^9 - 326956274812887997/3049266325095991*c_0101_5^8 + 291172966418228918/435609475013713*c_0101_5^7 - 52297535653621637/234558948084307*c_0101_5^6 - 3479612957073607911/3049266325095991*c_0101_5^5 + 685536148041404848/3049266325095991*c_0101_5^4 + 1051809143775192769/3049266325095991*c_0101_5^3 + 1200542800656104617/3049266325095991*c_0101_5^2 + 236011984019497239/3049266325095991*c_0101_5 + 234266570830132922/3049266325095991, c_0011_0 - 1, c_0011_3 - 682385059547/5657265909269*c_0101_5^11 + 6428862197438/5657265909269*c_0101_5^10 - 940382361615/435174300713*c_0101_5^9 - 15026830133589/5657265909269*c_0101_5^8 + 88703087489781/5657265909269*c_0101_5^7 - 2100516126445/435174300713*c_0101_5^6 - 155426920870266/5657265909269*c_0101_5^5 + 34120175007186/5657265909269*c_0101_5^4 + 41017864236724/5657265909269*c_0101_5^3 + 49453681498516/5657265909269*c_0101_5^2 + 26488710132198/5657265909269*c_0101_5 + 4425571531593/5657265909269, c_0011_4 + 6575969758/79679801539*c_0101_5^11 - 60650464109/79679801539*c_0101_5^10 + 8206486368/6129215503*c_0101_5^9 + 156719183291/79679801539*c_0101_5^8 - 797302687815/79679801539*c_0101_5^7 + 6479537463/6129215503*c_0101_5^6 + 1438535514685/79679801539*c_0101_5^5 + 95001979918/79679801539*c_0101_5^4 - 441756406816/79679801539*c_0101_5^3 - 643812851338/79679801539*c_0101_5^2 - 260619515393/79679801539*c_0101_5 - 64072012387/79679801539, c_0011_6 + 209862181/79679801539*c_0101_5^11 - 3875910160/79679801539*c_0101_5^10 + 1668421917/6129215503*c_0101_5^9 - 30031886923/79679801539*c_0101_5^8 - 65724616397/79679801539*c_0101_5^7 + 18982543811/6129215503*c_0101_5^6 - 12976665891/79679801539*c_0101_5^5 - 450213921854/79679801539*c_0101_5^4 + 47816204659/79679801539*c_0101_5^3 + 249163993186/79679801539*c_0101_5^2 + 97470370138/79679801539*c_0101_5 + 1762246638/79679801539, c_0101_0 + 466474467411/5657265909269*c_0101_5^11 - 4486871506892/5657265909269*c_0101_5^10 + 710680017937/435174300713*c_0101_5^9 + 8427192039213/5657265909269*c_0101_5^8 - 61698977501488/5657265909269*c_0101_5^7 + 2202170326492/435174300713*c_0101_5^6 + 102324144807866/5657265909269*c_0101_5^5 - 36166564913575/5657265909269*c_0101_5^4 - 34676075263442/5657265909269*c_0101_5^3 - 33210731443530/5657265909269*c_0101_5^2 - 895519340649/5657265909269*c_0101_5 + 1449502398946/5657265909269, c_0101_1 - 249100256050/5657265909269*c_0101_5^11 + 2235490408117/5657265909269*c_0101_5^10 - 258219787951/435174300713*c_0101_5^9 - 7928016024306/5657265909269*c_0101_5^8 + 30220445285886/5657265909269*c_0101_5^7 + 496792196388/435174300713*c_0101_5^6 - 65528662315486/5657265909269*c_0101_5^5 - 20078994387795/5657265909269*c_0101_5^4 + 29029187351019/5657265909269*c_0101_5^3 + 35795990830284/5657265909269*c_0101_5^2 + 15426445761209/5657265909269*c_0101_5 + 3726946244415/5657265909269, c_0101_5^12 - 9*c_0101_5^11 + 14*c_0101_5^10 + 29*c_0101_5^9 - 119*c_0101_5^8 - 16*c_0101_5^7 + 239*c_0101_5^6 + 58*c_0101_5^5 - 86*c_0101_5^4 - 108*c_0101_5^3 - 51*c_0101_5^2 - 22*c_0101_5 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB